Prologue: The multipliers for L1 (G).- The general theory of multipliers.- The multipliers for commutative H*-algebras.- Multipliers for topological linear spaces of functions and measures.- The multipliers for Lp(G).- The multipliers for the pair (Lp(G), Lq(G)) (1 ? p, q ? ?).- The multipliers for functions with fourier transforms in Lp (?).